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Cryptographic system based on canonical number systems

V.A.Fedoseev 1
1Samara State Aerospace University (SSAU)

 PDF, 115 kB

Pages: 146-148.

Full text of article: Russian language.

Abstract:
The paper considers a cryptographic system based on the existence of positional number systems in quadratic fields.

Keywords:
Cryptographic system, canonical number systems, quadratic fields.

Citation:
Fedoseev VA. Cryptographic system based on canonical number systems. Computer Optics 2005; 27: 146-148.

Acknowledgements:
This work was supported by the Russian-American program Basic Research and Higher Education (BRHE).

References:
  1. Kátai I, Kovács B. Kanonische Zahlensysteme in der Theorie der quadratischen Zahlen. Acta Sci Math 1980; 42(1-2): 99-107.
  2. Kátai I, Kovács B. Canonical number systems in imaginary quadratic fields. Acta Mathematica Academiae Scientiarum Hungaricae 1981; 37: 159-164. DOI: 10.1007/BF01904880.
  3. Thuswardner JM. Elementary properties of canonical number systems in quadratic fields. In Book: Bergum GE, Philippou AN, Horadam AF, eds. Applications of Fibonacci numbers, Vol 7. Dordrecht: Springer Science+Business Media; 1998: 405-409. DOI: 10.1007/978-94-011-5020-0_45 .

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